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Sphinxa [80]
3 years ago
13

Help me please!!!!!!!!!!!!!

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

For this case the vertex of the parabola is the point at which the parabola presents a minimum.

The parabola presents a minimum in this case, because the parabola opens upwards.

The vertex is then a minimum.

The vertex of the function is located in the following ordered pair:

(x, y) = (1, -1)

Answer:

(x, y) = (1, -1)

minimum

Option A

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Using approciate properties find -4/7*3/5+4/7*-1/5+2/5*-4/5
slega [8]

Answer: 0.548

Step-by-step explanation:

First you need to remember the formula for PEMDAS(Parenthesis,exponents,multiplication,divison,addition,subtractio)

you can do either multiplication or divison whichever comes first, same with addition+subtraction.

the underlined means to simplify

1.<u>-0.57x3</u>/5+4/7x-1/5+2/5x-4/5

2.<u>-1.71/5</u>+4/7x-1/5+2/5x-4/5

3.-0.342+<u>4/7</u>x-1/5+2/5x-4/5

4.-0.342+0.57x<u>-1/5</u>+2/5x-4/5

5.-0.342+<u>0.57x-0.2</u>+2/5x-4/5

6.-0.342+0.114+<u>2/5</u>x-4/5

7.-0.342+0.114+<u>0.4x-4</u>/5

8.-0.342+0.114+<u>-1.6/5</u>

9.<u>-0.342+0.114</u>+-0.32

10.<u>-0.228+-0.32=-0.548</u>

<u>i did this all in one go so......</u>

8 0
3 years ago
Y is directly proportional to x,<br> and y = 45 when x = $600...<br> Find y if x = $1000.
Paul [167]

Answer:

The Answer is: 75.

Step-by-step explanation:

Set up the equation:

45 / 600 = y / 1000

600y = 45 * 1000

600y = 45000

y = 45,000 / 600 = 75.

5 0
3 years ago
The average Act score follows a normal distribution, with a mean of 21.1 and a standard deviation of 5.1. What is the probabilit
ohaa [14]

Answer:

0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 21.1, \sigma = 5.1, n = 50, s = \frac{5.1}{\sqrt{50}} = 0.7212

What is the probability that the mean IQ score of 50 randomly selected people will be more than 23

This is 1 subtracted by the pvalue of Z when X = 23. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{23 - 21.1}{0.7212}

Z = 2.63

Z = 2.63 has a pvalue of 0.9957

1 - 0.9957 = 0.0043

0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23

5 0
3 years ago
Given H = f(t) where H is the height in meters of an object and t is the time in seconds since it was launched, which of the fol
dangina [55]

Answer:

Recall that the height of the object, in meters, is a function of elapsed time, in seconds. Thus what f(8)=12 means is that the object is at a height of 8 meters when 12 seconds have passed since its launch.

3 0
3 years ago
Yolanda tossed a coin 15 times. The results were 9 heads and 6 tails. Determine the experimental probability of tossing tails.
zlopas [31]

The coin landed on tails 6 out of 15 times.

The experimental probability of landing on tails was 6/15, which reduces to 2/5

8 0
3 years ago
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